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Simplifying 3n + -3(7n + -3) = -117 Reorder the terms: 3n + -3(-3 + 7n) = -117 3n + (-3 * -3 + 7n * -3) = -117 3n + (9 + -21n) = -117 Reorder the terms: 9 + 3n + -21n = -117 Combine like terms: 3n + -21n = -18n 9 + -18n = -117 Solving 9 + -18n = -117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18n = -117 + -9 Combine like terms: 9 + -9 = 0 0 + -18n = -117 + -9 -18n = -117 + -9 Combine like terms: -117 + -9 = -126 -18n = -126 Divide each side by '-18'. n = 7 Simplifying n = 7
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